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Finding the Third Proportional to 63,910.97 and 137,633.06

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Solution

The third proportional to 63,910.97 and 137,633.06 is: 296,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,910.97 : 137,633.06 = 137,633.06 : x
  2. Step 2: Convert to fraction form
    63,910.97/137,633.06 = 137,633.06/x
  3. Step 3: Cross multiply
    63,910.97x = 137,633.06 × 137,633.06
  4. Step 4: Simplify right side
    63,910.97x = 18,942,859,893.13
  5. Step 5: Solve for x
    x = 18,942,859,893.13/63,910.97
  6. Step 6: Final answer
    x = 296,394.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.